As mentioned before, the SNES is an option, but if you want, a Wii U (which is bacwards compatible with an original Wii) will also work. Super Mario All-Stars was released on disk for the Wii, Super Mario Kart, is available on the Wii U virtual console, Mario Kart 64 is available on the Wii virtual console. Additionally, each mainline Mario game from the original Mario Bros (vs.) up through Super Mario 64 is available through the Wii U virtual console & all but the original vs. are available on Wii virtual console. If you share a TV, the bonus of being able to play on the Wii U gamepad while someone else uses the TV may make it worth having over the originals. If it were me, I'd go with the Wii U just for the added flexibility, but hunting down a working condition SNES & N64 might be worth it if you're also interested in some of the games that haven't been ported to modern consoles. There are quite a few good ones.

As mentioned before, the SNES is an option, but if you want, a Wii U (which is bacwards compatible with an original Wii) will also work. Super Mario All-Stars was released on disk for the Wii, Super Mario Kart, is available on the Wii U virtual console, Mario Kart 64 is available on the Wii virtual console. Additionally, each mainline Mario game from the original Mario Bros (vs.) up through Super Mario 64 is available through the Wii U virtual console & all but the original vs. are available on Wii virtual console. If you share a TV, the bonus of being able to play on the Wii U gamepad while someone else uses the TV may make it worth having over the originals. If it were me, I'd go with the Wii U just for the added flexibility, but hunting down a working condition SNES & N64 might be worth it if you're also interested in some of the games that haven't been ported to modern consoles. There are quite a few good ones.

Yes, the Wii U is the way to go. It has the ability to play every Nintendo console game ever made, if you take the necessary actions to make GameCube games work within vWii.

Dang! Ive been out of the Wii U loop, havent turned mine on in over a year! Didnt know all of these porting had taken place!

There's many official VC titles for NES, SNES, N64, Wii, DS and GBA. The others you can still run but through vWii mode (which still supports Wii Shop Genesis, TurboGrafx-16, Arcade, Neo-Geo, etc.) and for the more "adventurous" it's still possible to run Homebrew emulation.